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Simplifying -9 + 2z = 9z + -1 + 13 Reorder the terms: -9 + 2z = -1 + 13 + 9z Combine like terms: -1 + 13 = 12 -9 + 2z = 12 + 9z Solving -9 + 2z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -9 + 2z + -9z = 12 + 9z + -9z Combine like terms: 2z + -9z = -7z -9 + -7z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -9 + -7z = 12 + 0 -9 + -7z = 12 Add '9' to each side of the equation. -9 + 9 + -7z = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -7z = 12 + 9 -7z = 12 + 9 Combine like terms: 12 + 9 = 21 -7z = 21 Divide each side by '-7'. z = -3 Simplifying z = -3
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